The Elements of Plane and Spherical Trigonometry ... |
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Side 4
... long as the magnitude of the angle remains un- altered , its sine , cosine , & c . , will be the same , whatever be the magnitude of C P. P P For let P ' be any other point in CP ' , and let fall the perpendicular P'N ' , N N ' Then Sin ...
... long as the magnitude of the angle remains un- altered , its sine , cosine , & c . , will be the same , whatever be the magnitude of C P. P P For let P ' be any other point in CP ' , and let fall the perpendicular P'N ' , N N ' Then Sin ...
Side 99
... long just reaches to the top of a house when its foot is 20 feet from the base ; find the height of the house . Ans . 56.56 feet . 7. A ship sails North 100 miles , then East 50 miles ; find the distance made good . Ans . III.8 miles ...
... long just reaches to the top of a house when its foot is 20 feet from the base ; find the height of the house . Ans . 56.56 feet . 7. A ship sails North 100 miles , then East 50 miles ; find the distance made good . Ans . III.8 miles ...
Side 111
... Long . 1 ° 6 ′ W. Long . 58 ° 24 ′ W. 9. Given Lat . of place , 50 ° 48 ′ N. , Sun's declination , 16 ° N. , and hour angle , 38 ° ; find his zenith distance and altitude . Ans . Z. D. 46 ° 11 ' ; Alt . 43 ° 49 ′ . 10. Required the ...
... Long . 1 ° 6 ′ W. Long . 58 ° 24 ′ W. 9. Given Lat . of place , 50 ° 48 ′ N. , Sun's declination , 16 ° N. , and hour angle , 38 ° ; find his zenith distance and altitude . Ans . Z. D. 46 ° 11 ' ; Alt . 43 ° 49 ′ . 10. Required the ...
Side 127
... rise ( i.e. , what is his amplitude ) in lat . 50 ° 48 ′ N. , when the day is 14 hours long ? Ans . E. 19 ° 4 ′ 15 ′′ N. ( continued at page 129 . + Cos . c = + - Quadrantal Triangles - SOLUTION OF QUADRANTAL TRIANGLES . 127.
... rise ( i.e. , what is his amplitude ) in lat . 50 ° 48 ′ N. , when the day is 14 hours long ? Ans . E. 19 ° 4 ′ 15 ′′ N. ( continued at page 129 . + Cos . c = + - Quadrantal Triangles - SOLUTION OF QUADRANTAL TRIANGLES . 127.
Side 148
... long will the Sun be above the horizon of a place in latitude 50 ° N. when its declination is 20 ° N. ? Ans . 15h 25m 40 ° . 35. How long will the moon be above horizon of a place in latitude 52 ° 30 ′ N. , when its declination is 20 ...
... long will the Sun be above the horizon of a place in latitude 50 ° N. when its declination is 20 ° N. ? Ans . 15h 25m 40 ° . 35. How long will the moon be above horizon of a place in latitude 52 ° 30 ′ N. , when its declination is 20 ...
Andre utgaver - Vis alle
The Elements of Plane and Spherical Trigonometry Alfred Challice Johnson Ingen forhåndsvisning tilgjengelig - 2019 |
The Elements of Plane and Spherical Trigonometry: Theoretical and Practical ... Alfred Challice Johnson Ingen forhåndsvisning tilgjengelig - 2018 |
The Elements of Plane and Spherical Trigonometry: Theoretical and Practical ... Alfred Challice Johnson Ingen forhåndsvisning tilgjengelig - 2015 |
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Populære avsnitt
Side 85 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Side 85 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Side 75 - To raise a number to any power, multiply the Log. of the number by the index of the power; the result will be the Log.
Side 62 - Suppose a* =n, then x is called the logarithm of n to the böge a ; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The- logarithm of n to the base a is written Iog0 n ; thus log„ii = a; expresses the same relation, as a* = n.
Side 85 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another; and the exterior angle equal to the interior and opposite upon...
Side 40 - The sides of a triangle are proportional to the sines of the opposite angles.
Side 72 - See the table at the end of this number. To find from the table the length of any given number of degrees and minutes, look for the degrees at the top of the page, and the minutes on the side; then against the minutes, and under the degrees, will be the length of the arc in nautical miles. 67. Meridional Difference of Latitude. — An arc of Mercator's meridian contained between two parallels of latitude, is called meridional difference of latitude. It is found by subtracting...
Side 53 - The RADIUS of a sphere is a straight line drawn from the centre to any point in surface, as the line C B.
Side 41 - In any triangle, the square of the side opposite an acute angle is equal to the sum of the squares of the other two sides, minus twice the product of one of these sides and the projection of the other side upon it.
Side 76 - Divide the logarithm of the number by the index of the root; the result will be the logarithm of the root. EXAMPLE.— Extract (a) the square root of 77,851; (6) the cube root of 698,970; (c) the 2.4 root of 8,964,300.